Cavity-field distribution in multiphoton Jaynes-Cummings resonances

TL;DR

This paper analytically investigates the cavity-field distribution in the Jaynes-Cummings model at two-photon resonance, revealing steady-state and transient bimodality in phase space and its relation to photon correlations.

Contribution

It introduces an effective four-level system approach to analytically demonstrate bimodality in the cavity-field distribution under two-photon resonance.

Findings

Bimodality appears in steady-state and transient regimes.

Bimodality breaks azimuthal symmetry in phase space.

Bimodality is linked to photon correlation evolution.

Abstract

We calculate the cavity-field distribution in the Wigner representation for the two-photon resonance of the weakly driven Jaynes-Cummings (JC) oscillator in its strong-coupling limit. Using an effective four-level system, we analytically demonstrate the presence of steady-state and transient bimodality which breaks azimuthal symmetry in phase space. The two steady-state peaks are located at opposite positions and do not correspond to the two-photon amplitude of the driven transition. The developing bimodality is portrayed in parallel with the evolution of the intensity correlation function for the forwards-scattered photons, before being finally contrasted to the few-photon steady-state and transient phase-space profiles for the cavity mode in the JC model driven on resonance.